Linear, Quadratic, and Exponential Regression

Find the quadratic equation for the relationship of the horizontal distance and the height of the ball.

• -18x² + 2.11x + 4.21
• -.06x² +1.06x + 7.9
• -6x² +1.06x + 79
• -.12x² + 2.11x + 4.22

Find the height of the ball when it traveled a distance of 10 feet.

• 12.8 ft
• 13.3 ft
• 11.1 ft
• 17 ft

Find the best fitting quadratic model for the data given.

• 1.2x² + 13x + 504.3
• 12x² + 13x + 504.3
• .12x² + 1.3x + 504.3

A person travels by car.  They record their miles driven in a data table.  Calculate the linear regression equation of this data.

• y = 61.93x - 1.79
• y = -1.79x + 61.93
• y = 0.016x + 0.03
• y = 0.03x + 0.016

The linear regression equation is y = 61.93x - 1.79.  Use the equation to predict how far this person will travel after 10 hours of driving.

• 10 miles
• 617.5 miles
• 0.19 miles
• 500 miles

A chemist has a 100-gram sample of a radioactive material. He records the amount of radioactive material every week for 6 weeks and obtains the following data: Find the exponential model of the function.

• y = 100(8.7)^x

• y = 100(1.87)^x

• y = 100(.87)^x

• y = 100(.13)^x

Write the exponential regression equation for this data.

• Y = 8.16(2.7)^X
• Y = 81.6(2.7)^X
• Y = 8.16(.27)^X
• Y = 8.16(27)^X

Use the exponential equation from number 7 to predict the number of grams after 10 days.

• 18763.62 grams

• 187636.2 grams

• 1.876362 grams

• 1876362 grams

Which of the following could be a possible line of best fit for the data?

• y = -5/2x + 20
• y = -x + 19
• y = x + 20
• y = 2/3x + 15 

Is the pictured graph exponential growth, exponential decay, or linear or none?

• Exponential Growth

• Exponential Decay

• Linear

• None